7/27/2019 OpticsHW_Ch12Key
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Dr. Sohl, Applied Optics Homework Key: Chapter 12,
Pedrotti312-1. What is the angular separation in second order
between light ofwavelengths 400 nrn and 600 nrn when diffracted by
a gratiof 5000 grooves/cm?l J ~ si-o.,t- ~ i ~ +f"...f.. s - l o .
. ~ ~ J J L et,> c J . ~ f ; < f V ' - . ~ r all
cR;tfr,...c+"Of\. I:jrfA..:f."rt.ljf
Y l ' 1 . . A = ~ S;t1 e De.terM' .... f!. 9- -fOr e o . . . c .
~ A -flvet\ .(2c"vttJ... A e. G, =s;';' (!'" ~ . : . 5";';' e'
f;:O.... o ) :::- 3(,. 'n ""2 L:l 9== " . " 7 ~ 2 3 . > e
oGz.=sii' ( - ; : , - ) == -:;j;/( z... ()()..,..-_ " :::::. 23 .
5*8 ) e:: /3 :2.912-2. ' S"DOO c-'} ..a. Describe the dispersion in
the red wavelength region around 650 nrn (both in o/nrn and in
nmlmm) for a transmissiongrating 6 cm wide, containing 3500
grooves/cm, when it is focused in the third-order spectrum on a
screen by a lens of focal length150 cm.b. Find the resolving power
of the under these conditions.
hOt's+ we.. (lce.J.. +0 k...o...:> Q l'\"'\A::'0\..5 io1 9- ,
iv tS, J .I ~ ----+-----+-~ - r ~ = - - . ~ ~ ~ rS :: ~ ; . . ; ' (
~ ) . : : : . s,,i' ( '3 . 6 " ' 0 ~ " " " 3,!iX (0 ----+-----+-e =
'-(3.0'1' GratinoI:: o:z. -= ~ :::"YY1 tJ -> N::::. ~ -:::: 0 O
O ~ Y'\W\. ;l ~ _ '875"'00 .6 ~ ~ ".-/ (M ft) 1 . _/ ("'1"\ A)(b'
C'I - .1 S1(1 -- - 5,,,-V Ci'}o, - 2- 0... - 2- w/rJ
S I' >" c.e.. -yV"L=J o . . ~ ():l =-tY\ tV we... ho.."e. ~ :
: : : tV ..No+e.. J I _ !1 _ .R _ 'il'7S-00-rh lAS, --..".. - - W
vJ "/8. j
(c) By ~ ~ /a..1AJ 0+ re - P / ~ c . I " ' D 1 1 j -rhij is'
j}.;,'ce ~ h J ~ e . aI1 D1... ..(
